Citation:
Tom Rudelius and Shu-Heng Shao. 2020. “Topological Operators and Completeness of Spectrum in Discrete Gauge Theories.” arXiv:2006.10052.
Ultra-Quantum Matter
Recent developments demonstrate that in the right circumstances, quantum aspects can extend to macroscopic scale. This is UQM.
Recent Publications
A relation between chiral central charge and ground state degeneracy in 2+1-dimensional topological orders
Citation:
Liang Kong and Xiao-Gang Wen. 2020. “A relation between chiral central charge and ground state degeneracy in 2+1-dimensional topological orders.” arXiv:2004.11904.
Many-body topological invariants from randomized measurements in synthetic quantum matter
Citation:
Andreas Elben, Jinlong Yu, Guanyu Zhu, Mohammad Hafezi, Frank Pollmann, Peter Zoller, and Benoît Vermersch. 2020. “Many-body topological invariants from randomized measurements in synthetic quantum matter.” Science Advances, 6, Pp. eaaz3666.
Abstract:
Many-body topological invariants, as quantized highly nonlocal correlators of the many-body wave function, are at the heart of the theoretical description of many-body topological quantum phases, including symmetry-protected and symmetry-enriched topological phases. Here, we propose and analyze a universal toolbox of measurement protocols to reveal many-body topological invariants of phases with global symmetries, which can be implemented in state-of-the-art experiments with synthetic quantum systems, such as Rydberg atoms, trapped ions, and superconducting circuits. The protocol is based on extracting the many-body topological invariants from statistical correlations of randomized measurements, implemented with local random unitary operations followed by site-resolved projective measurements. We illustrate the technique and its application in the context of the complete classification of bosonic symmetry-protected topological phases in one dimension, considering in particular the extended Su-Schrieffer-Heeger spin model, as realized with Rydberg tweezer arrays.Disentangling quantum matter with measurements
Citation:
Daniel Ben-Zion, John McGreevy, and Tarun Grover. 2020. “Disentangling quantum matter with measurements.” Phys. Rev. B, 101, Pp. 115131.
More Exotic Field Theories in 3+1 Dimensions
Citation:
Pranay Gorantla, Ho Tat Lam, Nathan Seiberg, and Shu-Heng Shao. 2020. “More Exotic Field Theories in 3+1 Dimensions.” arXiv:2007.04904.
Analyticity of replica correlators and ETH
Citation:
M. Shyani. 2020. “Analyticity of replica correlators and ETH”.
Abstract:
We study the two point correlation function of a local operator on an \(n\)-sheeted replica manifold corresponding to the half-space in the vacuum state of a conformal field theory. We calculate the Renyi transform in \(2d\) conformal field theories, and use it to extract the off-diagonal elements of (modular) ETH.Fractons from Vector Gauge Theory
Citation:
Leo Radzihovsky and Michael Hermele. 2020. “Fractons from Vector Gauge Theory.” Phys. Rev. Lett., 124, Pp. 050402.